Inequality and interval notation, Algebra

Assignment Help:

Solving the following inequalities.  Give both inequality and interval notation forms of the solution.

-2 ( m - 3) < 5 ( m + 1) -12

Solution

Solving out single linear inequalities follow pretty much the similar process for solving linear equations.  We will simplify both of the sides, get all the terms along with the variable on one side & the numbers on the other side, & then multiply/divide both of sides through the coefficient of the variable to obtain the solution.  The one thing which you've got to recall is that if you multiply/divide by a negative number then switches the direction of the inequality.

 -2 ( m - 3) < 5 ( m + 1) -12

Really there isn't much to do here other than follow the procedure outlined above.

-2 (m - 3) < 5 ( m + 1) -12

-2m + 6 < 5m + 5 -12

-7m < -13

   m < 13/ 7

 

You did notice the fact that the direction of the inequality vary here didn't you? We divided by a "-7" and thus we had to change the direction. The inequality form of the solution is m > 7.

The interval notation for this solution is, ( 13/ 7, ∞ ) .


Related Discussions:- Inequality and interval notation

Pricing problems, Pricing Problems Below give problem deal with some ba...

Pricing Problems Below give problem deal with some basic principles of pricing. Example A particular calculator has been marked up as 15% & is being sold for $78.50. How m

Process to sketching parabolas, Now, let's get back to parabolas. There is ...

Now, let's get back to parabolas. There is a basic procedure we can always use to get a pretty good sketch of a parabola. Following it is.  1. Determine the vertex. We'll discus

Grade 6 pattern math help, using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,4...

using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?

Proportions, A kilometer is about 5/8 mile.About how many miles are in 4 2/...

A kilometer is about 5/8 mile.About how many miles are in 4 2/5 kilometers? How would I set a proportion?

School, Find the interest if: p = $8000, r = 6%, and t = 1 year

Find the interest if: p = $8000, r = 6%, and t = 1 year

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd